TY - JOUR
T1 - Symbolic Functional Calculus and N-Body Resolvent Estimates
AU - Hassell, Andrew
AU - Vasy, András
PY - 2000/6/1
Y1 - 2000/6/1
N2 - We construct a functional calculus for symbolic functions of "scattering pseudodifferential operators" on manifolds with boundary. This is applied to obtain mapping results on the scattering wavefront set of the B operator used by Gérard et al. (1994, "Commutator Algebra and Resolvent Estimates," Advanced Studies in Pure Mathematics, Vol. 23, Math. Soc. Japan, Tokyo) to obtain N-body resolvent estimates. As an application, we construct the plane waves for an N-body, short range Schrödinger operator and obtain a scattering wavefront set estimate.
AB - We construct a functional calculus for symbolic functions of "scattering pseudodifferential operators" on manifolds with boundary. This is applied to obtain mapping results on the scattering wavefront set of the B operator used by Gérard et al. (1994, "Commutator Algebra and Resolvent Estimates," Advanced Studies in Pure Mathematics, Vol. 23, Math. Soc. Japan, Tokyo) to obtain N-body resolvent estimates. As an application, we construct the plane waves for an N-body, short range Schrödinger operator and obtain a scattering wavefront set estimate.
KW - Functional calculus; pseudodifferential operators; scattering calculus; N-body problem; plane waves
UR - http://www.scopus.com/inward/record.url?scp=0000059859&partnerID=8YFLogxK
U2 - 10.1006/jfan.2000.3569
DO - 10.1006/jfan.2000.3569
M3 - Article
SN - 0022-1236
VL - 173
SP - 257
EP - 283
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
IS - 2
ER -